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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 1, Pages 66–74 (Mi sjim767)  
On the shift of a regulatory signal in models of matrix synthesis

V. A. Likhoshvaiab, S. I. Fadeevac

a Novosibirsk State University, Novosibirsk, Russia
b Institute of Cytology and Genetics of the SDRAS, Novosibirsk, Russia
c Sobolev Institute of Mathematics of the SDRAS, Novosibirsk, Russia
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Abstract: The paper deals with the limiting properties of the matrix synthesis models thattake into account the phenomenon of branching and an unspecified number of intermediate stages. Numerically, it is shown that with unlimited increase in the number of intermediate stages, the shift os observed of the control signal along the chain synthesis. Also, compression of the control function, is inversely proportional to the branching ratio. If branching is absent, the hypothesis is proved by analogy with the available limit theorems.
Keywords: mathematical biology of the gene, matrix synthesis, a system of ordinary differential equations, retarded arguments, shift of regulatory signal, implicit scheme.
Received: 15.06.2012
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 3, Pages 404–411
DOI: https://doi.org/10.1134/S1990478913030137
Bibliographic databases:
Document Type: Article
UDC: 519.61+577.21
Language: Russian
Citation: V. A. Likhoshvai, S. I. Fadeev, “On the shift of a regulatory signal in models of matrix synthesis”, Sib. Zh. Ind. Mat., 16:1 (2013), 66–74; J. Appl. Industr. Math., 7:3 (2013), 404–411
Citation in format AMSBIB
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\by V.~A.~Likhoshvai, S.~I.~Fadeev
\paper On the shift of a~regulatory signal in models of matrix synthesis
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 1
\pages 66--74
\mathnet{http://mi.mathnet.ru/sjim767}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3203306}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 3
\pages 404--411
\crossref{https://doi.org/10.1134/S1990478913030137}
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